Elastic-plastic analysis of antiplane crack near crack surface region  

作　　者：易志坚 谷建义 何小兵 马银华 杨庆国 彭凯 黄锋 黄宗明 

机构地区：[1]School of Civil Engineering,Chongqing University [2]School of Civil Engineering,Chongqing Jiaotong University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2010年第7期895-902,共8页应用数学和力学（英文版）

基　　金：supported by the National Natural Science Foundation of China (No.10672196)

摘　　要：The elastic-plastic stress distribution and the elastic-plastic boundary con- figuration near a crack surface region are significant but hard to obtain by means of the conventional analysis. A crack line analysis method is developed in this paper by consid- ering the crack surface as an extension of the crack line. The stresses in the plastic zone, the length, and the unit normal vector of the elastic-plastic boundary near a crack surface region are obtained for an antiplane crack in an elastic-perfectly plastic solid. The usual small scale yielding assumptions are not needed in the analysis.The elastic-plastic stress distribution and the elastic-plastic boundary con- figuration near a crack surface region are significant but hard to obtain by means of the conventional analysis. A crack line analysis method is developed in this paper by consid- ering the crack surface as an extension of the crack line. The stresses in the plastic zone, the length, and the unit normal vector of the elastic-plastic boundary near a crack surface region are obtained for an antiplane crack in an elastic-perfectly plastic solid. The usual small scale yielding assumptions are not needed in the analysis.

关 键 词：antiplane crack elastic-perfectly plastic material crack surface elastic- plastic boundary plastic zone 

分 类 号：O346.1[理学—固体力学]